Compare 21/64 and 49/3
1st number: 21/64, 2nd number: 16 1/3
21/64 is smaller than 49/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 3 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 64 × 3 = 192,
21/64 = 21 × 3/64 × 3 = 63/192 - Likewise, for the 2nd fraction, since 3 × 64 = 192,
49/3 = 49 × 64/3 × 64 = 3136/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/192 < 3136/192 or 21/64 < 49/3
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